Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

223
The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
223
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

150
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
150
Deflection of a Beam01:19

Deflection of a Beam

324
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
324
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

271
A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by...
271
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

266
To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's...
266
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

322
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
322

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Block sparse Bayesian learning with environmental perturbation for robust matched field processing.

The Journal of the Acoustical Society of America·2026
Same author

Channel estimation under short pilot length in deep-sea underwater acoustic communications.

The Journal of the Acoustical Society of America·2025
Same author

Sparse Bayesian learning with Bernoulli-Gaussian priors for off-grid matched field processing.

The Journal of the Acoustical Society of America·2025
Same author

Modeling of acoustic waveguides in floating ice sheets with vertical temperature profiles.

The Journal of the Acoustical Society of America·2025
Same author

Message passing-based single-carrier communications in deep-sea horizontal acoustic channels: Joint interference cancellation and symbol detection.

The Journal of the Acoustical Society of America·2025
Same author

Environmentally and statistically robust matched-field source localization based on information geometry principles.

The Journal of the Acoustical Society of America·2024

Related Experiment Video

Updated: Jul 31, 2025

Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station
05:57

Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station

Published on: April 1, 2020

8.1K

Robust adaptive beamforming based on zone orthogonal constraint and steering vector estimation.

Kun Guo1, Zhilong Wang1, Liang Zhang1

  • 1Key Laboratory for Polar Acoustics and Application of Ministry of Education, Harbin Engineering University, Harbin 150001, People's Republic of China.

JASA Express Letters
|May 1, 2023
PubMed
Summary

This study improves steering vector estimation for adaptive beamforming. The novel method uses zone orthogonal constraints and uncertainty set errors to enhance accuracy, ensuring reliable signal processing even with array deviations.

More Related Videos

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

1.7K
Evaluating Targeting Accuracy in the Focal Plane for an Ultrasound-guided High-intensity Focused Ultrasound Phased-array System
08:08

Evaluating Targeting Accuracy in the Focal Plane for an Ultrasound-guided High-intensity Focused Ultrasound Phased-array System

Published on: March 6, 2019

5.3K

Related Experiment Videos

Last Updated: Jul 31, 2025

Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station
05:57

Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station

Published on: April 1, 2020

8.1K
Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

1.7K
Evaluating Targeting Accuracy in the Focal Plane for an Ultrasound-guided High-intensity Focused Ultrasound Phased-array System
08:08

Evaluating Targeting Accuracy in the Focal Plane for an Ultrasound-guided High-intensity Focused Ultrasound Phased-array System

Published on: March 6, 2019

5.3K

Area of Science:

  • Signal Processing
  • Adaptive Systems
  • Array Signal Processing

Background:

  • Steering vector estimation is crucial for adaptive beamforming.
  • Mismatches can degrade performance in traditional methods.
  • Accurate estimation is vital for interference rejection and signal capture.

Purpose of the Study:

  • To develop a robust steering vector estimation method for adaptive beamforming under mismatch conditions.
  • To improve the accuracy and reliability of beamformer performance.
  • To ensure estimated vectors remain within desired sectors despite array deviations.

Main Methods:

  • A stepwise estimation approach for the steering vector.
  • Incorporation of a zone orthogonal constraint based on Khabbazibasmenj's framework.
  • Application of an uncertainty set error constraint to refine estimation.

Main Results:

  • The proposed method effectively estimates steering vectors under mismatch.
  • Zone orthogonal constraints prevent convergence to out-of-sector interference.
  • Uncertainty set errors enhance estimation accuracy.
  • Numerical simulations and experimental results confirm method efficacy.

Conclusions:

  • The developed beamformer offers improved steering vector estimation accuracy.
  • The method provides robustness against array deviations and mismatches.
  • This technique enhances the reliability of adaptive beamforming systems.